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The aim of this chapter is to introduce tools from bifurcation theory which. Bifurcation analysis for infinite dimensional systems. This pdf document provides the textual background in the mini course on bifurca. Explain some of the basics of bifurcation theory to PhD-students at the group. publication of such an application-oriented text on bifurcation theory of dynamical. We have introduced bordering methods to continue fold and Hopf bifur.

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INTRODUCTION TO BIFURCATION THEORY. IIMAS - Universidad Nacional Autonoma de Mexico. Mexico DF - Mexico and. CHAPTER 5. In this chapter, we study the autonomous equation with a k-dimensional parameter. We then say that the system has undergone a bifurcation. Bifurcations often change the attractors of a dynamical system. Informally, an attractor. fixed k defines the stability threshold or bifurcation point at which the base. In this section, we introduce the general theory of bifurcations in the context of.

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